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Finding the Fourth Proportional to 311.88, 464.63 and 293.28

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Solution

The fourth proportional to 311.88, 464.63 and 293.28 is: 436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 464.63 = 293.28 : x
  2. Step 2: Convert to fraction form
    311.88/464.63 = 293.28/x
  3. Step 3: Cross multiply
    311.88x = 464.63 × 293.28
  4. Step 4: Simplify right side
    311.88x = 136,265.22
  5. Step 5: Solve for x
    x = 136,265.22/311.88
  6. Step 6: Final answer
    x = 436.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.